Dualities and vertex operator algebras of affine type

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dc.creatorBorcea, Julius
dc.date2002-12-12
dc.date.accessioned2026-07-07T04:53:45Z
dc.date.available2026-07-07T04:53:45Z
dc.descriptionWe notice that for any positive integer $k$, the set of $(1,2)$-specialized characters of level $k$ standard $A_{1}^{(1)}$-modules is the same as the set of rescaled graded dimensions of the subspaces of level $2k+1$ standard $A_{2}^{(2)}$-modules that are vacuum spaces for the action of the principal Heisenberg subalgebra of $A_{2}^{(2)}$. We conjecture the existence of a semisimple category induced by the "equal level" representations of some algebraic structure which would naturally explain this duality-like property, and we study potential such structures in the context of generalized vertex operator algebras.
dc.description32 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0212177
dc.identifierhttp://arxiv.org/abs/math/0212177
dc.identifierJournal of Algebra vol. 258 nr. 2 (2002), 389-441
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65975
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.titleDualities and vertex operator algebras of affine type
dc.typetext

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